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Higgins, Peter Michael

Author ID: higgins.peter-m Recent zbMATH articles by "Higgins, Peter Michael"
Published as: Higgins, Peter M.; Higgins, P. M.; Higgins, P.
Homepage: https://www.essex.ac.uk/people/higgi47601/peter-higgins
External Links: MGP · Wikidata · Google Scholar · dblp · GND

Publications by Year

Citations contained in zbMATH Open

62 Publications have been cited 597 times in 417 Documents Cited by Year
Techniques of semigroup theory. Zbl 0744.20046
Higgins, Peter M.
141
1992
The monoid of orientation-preserving mappings on a chain. Zbl 0919.20041
Catarino, P. M.; Higgins, P. M.
48
1999
On relative ranks of full transformation semigroups. Zbl 0902.20027
Howie, John M.; Ruškuc, N.; Higgins, P. M.
37
1998
Combinatorial results for semigroups of order-preserving mappings. Zbl 0781.20036
Higgins, Peter M.
32
1993
Divisors of semigroups of order-preserving mappings on a finite chain. Zbl 0842.20054
Higgins, Peter M.
29
1995
Countable versus uncountable ranks in infinite semigroups of transformations and relations. Zbl 1043.20040
Higgins, Peter M.; Howie, John M.; Mitchell, James D.; Ruškuc, Nikola
24
2003
Generators and factorisations of transformation semigroups. Zbl 0920.20056
Higgins, Peter M.; Howie, John M.; Ruškuc, Nikola
21
1998
Rank properties of endomorphisms of infinite partially ordered sets. Zbl 1101.06001
Higgins, P. M.; Mitchell, J. D.; Morayne, M.; Ruškuc, N.
15
2006
Generating the full transformation semigroup using order preserving mappings. Zbl 1043.20041
Higgins, P. M.; Mitchell, J. D.; Ruškuc, N.
14
2003
Saturated and epimorphically closed varieties of semigroups. Zbl 0539.20033
Higgins, P. M.
13
1984
Idempotent depth in semigroups of order-preserving mappings. Zbl 0817.20063
Higgins, Peter M.
12
1994
Epimorphisms and amalgams. Zbl 0669.20050
Higgins, Peter M.
11
1988
A proof of Simon’s theorem on piecewise testable languages. Zbl 0901.68093
Higgins, Peter M.
11
1997
Epis are onto for generalised inverse semigroups. Zbl 0475.20052
Higgins, P. M.
11
1981
Digraphs and the semigroup of all functions on a finite set. Zbl 0634.20034
Higgins, Peter M.
11
1988
The varieties of commutative semigroups for which epis are onto. Zbl 0511.20048
Higgins, P. M.
9
1983
The Mitsch order on a semigroup. Zbl 0809.20052
Higgins, Peter M.
8
1994
Finite aperiodic semigroups with commuting idempotents and generalizations. Zbl 0959.20051
Higgins, Peter M.; Margolis, Stuart W.
8
2000
Monoids respecting \(n\)-chains of intervals. Zbl 0873.20040
Almeida, Jorge; Higgins, Peter M.
8
1997
Orientation-preserving and orientation-reversing mappings: a new description. Zbl 1511.20226
Higgins, Peter M.; Vernitski, Alexei
8
2022
Epimorphisms, permutation identities and finite semigroups. Zbl 0546.20051
Higgins, Peter M.
7
1984
The range order of a product of i transformations from a finite full transformation semigroup. Zbl 0636.20041
Higgins, Peter M.
7
1988
Unavoidable sets of words of uniform length. Zbl 1009.68105
Saker, C. J.; Higgins, P. M.
7
2002
Green’s relations and stability for subsemigroups. Zbl 1508.20082
East, James; Higgins, Peter M.
7
2020
The determination of all varieties consisting of absolutely closed semigroups. Zbl 0507.20025
Higgins, P. M.
6
1983
The semigroup of conjugates of a word. Zbl 1126.20040
Higgins, Peter M.
6
2006
Epimorphisms, dominions and \(\mathcal{H}\)-commutative semigroups. Zbl 1481.20199
Alam, Noor; Higgins, Peter M.; Khan, Noor Mohammad
6
2020
A semigroup with an epimorphically embedded subband. Zbl 0505.20043
Higgins, Peter M.
5
1983
Epimorphisms and semigroup varieties. Zbl 0531.20036
Higgins, Peter M.
5
1984
A short proof of Isbell’s zigzag theorem. Zbl 0741.20045
Higgins, Peter M.
5
1990
Unavoidable sets. Zbl 1097.68109
Higgins, Peter M.; Saker, Christopher J.
5
2006
Burrows-Wheeler transformations and de Bruijn words. Zbl 1278.68238
Higgins, Peter M.
5
2012
Permutations of a semigroup that map to inverses. Zbl 1307.20057
Higgins, Peter M.
4
2014
An algebraic proof that pseudovarieties are defined by pseudoidentities. Zbl 0760.08005
Higgins, Peter M.
3
1990
Epimorphisms, dominions and semigroups. Zbl 0596.20055
Higgins, Peter M.
3
1985
The naming of Popes and a Fibonacci sequence in two noncommuting indeterminates. Zbl 0608.10014
Higgins, Peter M.
3
1987
The product of the idempotents and an \(\mathcal H\)-class of the finite full transformation semigroup. Zbl 1254.20055
Higgins, Peter M.
3
2012
Set products in transformation semigroups. Zbl 1049.20036
Higgins, Peter M.; Howie, John M.; Ruškuc, Nik
3
2003
Algebras defined by equations. Zbl 1471.20038
Higgins, Peter M.; Jackson, Marcel
3
2020
Random products in semigroups of mappings. Zbl 0734.20029
Higgins, Peter M.
2
1990
A method for constructing square roots in finite full transformation semigroups. Zbl 0552.20045
Higgins, Peter M.
2
1985
Embedding in bisimple semigroups. Zbl 0691.20048
Higgins, Peter M.
2
1990
A class of eventually regular semigroups determined by pseudo-random sets. Zbl 0813.20071
Higgins, Peter M.
2
1993
Combinatorial aspects of semigroups of order-preserving and decreasing functions. Zbl 0819.20071
Higgins, Peter M.
2
1993
The converse of Lallement’s lemma. Zbl 0969.20033
Higgins, Peter M.
2
1998
The gap between partial and full: an addendum. Zbl 1029.20029
Almeida, J.; Higgins, P. M.; Volkov, M. V.
2
2001
Completely semisimple semigroups and epimorphisms. Zbl 0591.20061
Higgins, Peter M.
2
1986
Orthodox semigroups and permutation matchings. Zbl 1422.20037
Higgins, Peter M.
2
2017
Embedding semigroups in semibands of depth two. Zbl 0838.20060
Higgins, Peter M.
1
1995
Dense subsets of some common classes of semigroups. Zbl 0601.20058
Higgins, Peter M.
1
1986
Deciding some embeddability problems for semigroups of mappings. Zbl 0987.20044
Fremlin, David H.; Higgins, Peter M.
1
2000
Algebra. A very short introduction. Zbl 1401.00002
Higgins, Peter M.
1
2015
Numbers. A very short introduction. Zbl 1213.00007
Higgins, Peter M.
1
2011
A new proof of Schutzenberger’s theorem. Zbl 1007.68122
Higgins, Peter M.
1
2000
The pseudovariety generated by all semigroups of orientation-preserving transformations on a finite cycle. Zbl 1010.20052
Catarino, P. M.; Higgins, P. M.
1
2002
Generalized Green’s equivalences on the subsemigroups of the bicyclic monoid. Zbl 1221.20041
Descalço, L.; Higgins, P. M.
1
2010
The length of short words in unavoidable sets. Zbl 1234.05010
Higgins, Peter M.
1
2011
Involution matchings, the semigroup of orientation-preserving and orientation-reversing mappings, and inverse covers of the full transformation semigroup. Zbl 1467.20086
Higgins, Peter M.
1
2019
On inverse subsemigroups of the semigroup of orientation-preserving or orientation-reversing transformations. Zbl 1339.20059
Catarino, Paula; Higgins, Peter M.; Levi, Inessa
1
2015
Pseudovarieties generated by transformation semigroups. Zbl 0964.20036
Higgins, Peter M.
1
1999
Languages that require full scanning of words to determine membership. Zbl 1355.68159
Higgins, Peter M.; Alwan, Suhear
1
2013
The biker-hiker problem. Zbl 07765700
Higgins, Peter M.
1
2024
The biker-hiker problem. Zbl 07765700
Higgins, Peter M.
1
2024
Orientation-preserving and orientation-reversing mappings: a new description. Zbl 1511.20226
Higgins, Peter M.; Vernitski, Alexei
8
2022
Green’s relations and stability for subsemigroups. Zbl 1508.20082
East, James; Higgins, Peter M.
7
2020
Epimorphisms, dominions and \(\mathcal{H}\)-commutative semigroups. Zbl 1481.20199
Alam, Noor; Higgins, Peter M.; Khan, Noor Mohammad
6
2020
Algebras defined by equations. Zbl 1471.20038
Higgins, Peter M.; Jackson, Marcel
3
2020
Involution matchings, the semigroup of orientation-preserving and orientation-reversing mappings, and inverse covers of the full transformation semigroup. Zbl 1467.20086
Higgins, Peter M.
1
2019
Orthodox semigroups and permutation matchings. Zbl 1422.20037
Higgins, Peter M.
2
2017
Algebra. A very short introduction. Zbl 1401.00002
Higgins, Peter M.
1
2015
On inverse subsemigroups of the semigroup of orientation-preserving or orientation-reversing transformations. Zbl 1339.20059
Catarino, Paula; Higgins, Peter M.; Levi, Inessa
1
2015
Permutations of a semigroup that map to inverses. Zbl 1307.20057
Higgins, Peter M.
4
2014
Languages that require full scanning of words to determine membership. Zbl 1355.68159
Higgins, Peter M.; Alwan, Suhear
1
2013
Burrows-Wheeler transformations and de Bruijn words. Zbl 1278.68238
Higgins, Peter M.
5
2012
The product of the idempotents and an \(\mathcal H\)-class of the finite full transformation semigroup. Zbl 1254.20055
Higgins, Peter M.
3
2012
Numbers. A very short introduction. Zbl 1213.00007
Higgins, Peter M.
1
2011
The length of short words in unavoidable sets. Zbl 1234.05010
Higgins, Peter M.
1
2011
Generalized Green’s equivalences on the subsemigroups of the bicyclic monoid. Zbl 1221.20041
Descalço, L.; Higgins, P. M.
1
2010
Rank properties of endomorphisms of infinite partially ordered sets. Zbl 1101.06001
Higgins, P. M.; Mitchell, J. D.; Morayne, M.; Ruškuc, N.
15
2006
The semigroup of conjugates of a word. Zbl 1126.20040
Higgins, Peter M.
6
2006
Unavoidable sets. Zbl 1097.68109
Higgins, Peter M.; Saker, Christopher J.
5
2006
Countable versus uncountable ranks in infinite semigroups of transformations and relations. Zbl 1043.20040
Higgins, Peter M.; Howie, John M.; Mitchell, James D.; Ruškuc, Nikola
24
2003
Generating the full transformation semigroup using order preserving mappings. Zbl 1043.20041
Higgins, P. M.; Mitchell, J. D.; Ruškuc, N.
14
2003
Set products in transformation semigroups. Zbl 1049.20036
Higgins, Peter M.; Howie, John M.; Ruškuc, Nik
3
2003
Unavoidable sets of words of uniform length. Zbl 1009.68105
Saker, C. J.; Higgins, P. M.
7
2002
The pseudovariety generated by all semigroups of orientation-preserving transformations on a finite cycle. Zbl 1010.20052
Catarino, P. M.; Higgins, P. M.
1
2002
The gap between partial and full: an addendum. Zbl 1029.20029
Almeida, J.; Higgins, P. M.; Volkov, M. V.
2
2001
Finite aperiodic semigroups with commuting idempotents and generalizations. Zbl 0959.20051
Higgins, Peter M.; Margolis, Stuart W.
8
2000
Deciding some embeddability problems for semigroups of mappings. Zbl 0987.20044
Fremlin, David H.; Higgins, Peter M.
1
2000
A new proof of Schutzenberger’s theorem. Zbl 1007.68122
Higgins, Peter M.
1
2000
The monoid of orientation-preserving mappings on a chain. Zbl 0919.20041
Catarino, P. M.; Higgins, P. M.
48
1999
Pseudovarieties generated by transformation semigroups. Zbl 0964.20036
Higgins, Peter M.
1
1999
On relative ranks of full transformation semigroups. Zbl 0902.20027
Howie, John M.; Ruškuc, N.; Higgins, P. M.
37
1998
Generators and factorisations of transformation semigroups. Zbl 0920.20056
Higgins, Peter M.; Howie, John M.; Ruškuc, Nikola
21
1998
The converse of Lallement’s lemma. Zbl 0969.20033
Higgins, Peter M.
2
1998
A proof of Simon’s theorem on piecewise testable languages. Zbl 0901.68093
Higgins, Peter M.
11
1997
Monoids respecting \(n\)-chains of intervals. Zbl 0873.20040
Almeida, Jorge; Higgins, Peter M.
8
1997
Divisors of semigroups of order-preserving mappings on a finite chain. Zbl 0842.20054
Higgins, Peter M.
29
1995
Embedding semigroups in semibands of depth two. Zbl 0838.20060
Higgins, Peter M.
1
1995
Idempotent depth in semigroups of order-preserving mappings. Zbl 0817.20063
Higgins, Peter M.
12
1994
The Mitsch order on a semigroup. Zbl 0809.20052
Higgins, Peter M.
8
1994
Combinatorial results for semigroups of order-preserving mappings. Zbl 0781.20036
Higgins, Peter M.
32
1993
A class of eventually regular semigroups determined by pseudo-random sets. Zbl 0813.20071
Higgins, Peter M.
2
1993
Combinatorial aspects of semigroups of order-preserving and decreasing functions. Zbl 0819.20071
Higgins, Peter M.
2
1993
Techniques of semigroup theory. Zbl 0744.20046
Higgins, Peter M.
141
1992
A short proof of Isbell’s zigzag theorem. Zbl 0741.20045
Higgins, Peter M.
5
1990
An algebraic proof that pseudovarieties are defined by pseudoidentities. Zbl 0760.08005
Higgins, Peter M.
3
1990
Random products in semigroups of mappings. Zbl 0734.20029
Higgins, Peter M.
2
1990
Embedding in bisimple semigroups. Zbl 0691.20048
Higgins, Peter M.
2
1990
Epimorphisms and amalgams. Zbl 0669.20050
Higgins, Peter M.
11
1988
Digraphs and the semigroup of all functions on a finite set. Zbl 0634.20034
Higgins, Peter M.
11
1988
The range order of a product of i transformations from a finite full transformation semigroup. Zbl 0636.20041
Higgins, Peter M.
7
1988
The naming of Popes and a Fibonacci sequence in two noncommuting indeterminates. Zbl 0608.10014
Higgins, Peter M.
3
1987
Completely semisimple semigroups and epimorphisms. Zbl 0591.20061
Higgins, Peter M.
2
1986
Dense subsets of some common classes of semigroups. Zbl 0601.20058
Higgins, Peter M.
1
1986
Epimorphisms, dominions and semigroups. Zbl 0596.20055
Higgins, Peter M.
3
1985
A method for constructing square roots in finite full transformation semigroups. Zbl 0552.20045
Higgins, Peter M.
2
1985
Saturated and epimorphically closed varieties of semigroups. Zbl 0539.20033
Higgins, P. M.
13
1984
Epimorphisms, permutation identities and finite semigroups. Zbl 0546.20051
Higgins, Peter M.
7
1984
Epimorphisms and semigroup varieties. Zbl 0531.20036
Higgins, Peter M.
5
1984
The varieties of commutative semigroups for which epis are onto. Zbl 0511.20048
Higgins, P. M.
9
1983
The determination of all varieties consisting of absolutely closed semigroups. Zbl 0507.20025
Higgins, P. M.
6
1983
A semigroup with an epimorphically embedded subband. Zbl 0505.20043
Higgins, Peter M.
5
1983
Epis are onto for generalised inverse semigroups. Zbl 0475.20052
Higgins, P. M.
11
1981
all top 5

Cited by 347 Authors

32 Higgins, Peter Michael
29 East, James
29 Fernandes, Vítor Hugo
18 Zhao, Ping
17 Mitchell, James D.
15 Shah, Aftab Hussain
13 Araújo, João
13 Khan, Noor Mohammad
13 Konieczny, Janusz
12 Dolinka, Igor
12 Volkov, Mikhail Vladimirovich
11 Ahanger, Shabir Ahmad
11 Ruškuc, Nik
9 Koppitz, Jörg
8 Ayik, Hayrullah
8 Gray, Robert D.
8 Quinteiro, Teresa M.
7 Steinberg, Benjamin
7 Vernitski, Alexei
6 Ashraf, Wajih
6 Ayik, Gonca
6 Budkin, Aleksandr Ivanovich
6 Luo, Yan Feng
6 Morayne, Michał
6 Péresse, Yann H.
6 Yang, Xiuliang
5 Almeida, Jorge
5 Dimitrova, Ilinka
5 Gomes, Gracinda M. S.
5 Hu, Huabi
5 Kinyon, Michael K.
5 Malheiro, António
5 Umar, Abdullahi
5 Zhang, Wen Ting
4 Abbas, Shabnam
4 Alam, Noor
4 Bano, Sakeena
4 Blanchet-Sadri, Francine
4 Bugay, Leyla
4 Cain, Alan J.
4 Gould, Victoria A. R.
4 Honyam, Preeyanuch
4 Kambites, Mark
4 Li, Debiao
4 Marovt, Janko
4 Mazorchuk, Volodymyr
4 Nabi, Muneer
4 You, Taijie
3 Auinger, Karl
3 Bentz, Wolfram
3 Chaopraknoi, Sureeporn
3 Dağdeviren, Ayşegül
3 Delgado, Manuel
3 Easdown, David
3 FitzGerald, Desmond G.
3 Gigoń, Roman S.
3 Halıcıoğlu, Sait
3 Harmanci, Abdullah
3 Hickey, John B.
3 Jesus, Manuel M.
3 Jonušas, Julius
3 Kärkkäinen, Juha
3 Kemprasit, Yupaporn
3 Klíma, Ondřej
3 Korkmaz, Emrah
3 Kudryavtseva, Ganna
3 Laradji, Abdallah
3 Maltcev, Victor
3 Piątkowski, Marcin
3 Ribeiro, Duarte
3 Robertson, Edmund Frederick
3 Sanwong, Jintana
3 Sarkar, Mosarof
3 Singh, Shubh Narayan
3 Singha, Boorapa
3 Ungor, Burcu
2 Alam, Rizwan
2 Almeida Santos, Maria Helena
2 Ananichev, Dmitry S.
2 Atkarskaya, Agatha
2 Azeef Muhammed, P. A.
2 Blyth, Thomas Scott
2 Cameron, Peter Jephson
2 Catarino, Paula Maria Machado Cruz
2 Chakarov, Aleksandar
2 Chen, Bob
2 Chinram, Ronnason
2 Cichoń, Jacek
2 Clark, Chad
2 Cummings, Paul A.
2 Dehornoy, Patrick
2 Deng, Lunzhi
2 Đurđev, Ivana
2 Evangelou, Athanasios
2 Gadouleau, Maximilien
2 Gan, Aiping
2 Grensing, Anna-Louise
2 Guo, Li
2 Hall, Thomas Eric
2 Ham, Nicholas
...and 247 more Authors
all top 5

Cited in 101 Serials

101 Semigroup Forum
34 Communications in Algebra
33 Journal of Algebra
19 International Journal of Algebra and Computation
11 Theoretical Computer Science
10 Asian-European Journal of Mathematics
9 Bulletin of the Australian Mathematical Society
9 Transactions of the American Mathematical Society
9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Journal of Algebra and its Applications
7 Algebra Universalis
7 Journal of Pure and Applied Algebra
7 Turkish Journal of Mathematics
6 Glasgow Mathematical Journal
4 Discrete Mathematics
4 Czechoslovak Mathematical Journal
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Algebra Colloquium
4 Journal of Algebra and Related Topics
3 Israel Journal of Mathematics
3 Periodica Mathematica Hungarica
3 Communications of the Korean Mathematical Society
3 Journal of the Australian Mathematical Society
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Algebra and Logic
2 Applied Mathematics and Computation
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Combinatorial Theory. Series A
2 Mathematica Slovaca
2 Monatshefte für Mathematik
2 Proceedings of the American Mathematical Society
2 Siberian Mathematical Journal
2 Studia Logica
2 Topology and its Applications
2 Journal of Algebraic Combinatorics
2 Journal of Mathematical Sciences (New York)
2 Journal of Mathematical Chemistry
2 Algebras and Representation Theory
2 Algebra and Discrete Mathematics
2 Hacettepe Journal of Mathematics and Statistics
2 Journal of Discrete Algorithms
2 Thai Journal of Mathematics
2 Palestine Journal of Mathematics
2 Journal of Algebraic Systems
1 Communications in Mathematical Physics
1 Journal of Mathematical Biology
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Ukrainian Mathematical Journal
1 Beiträge zur Algebra und Geometrie
1 Acta Scientiarum Mathematicarum
1 Advances in Mathematics
1 Algebra i Logika
1 The Annals of Probability
1 Demonstratio Mathematica
1 Dissertationes Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 The Journal of Symbolic Logic
1 Memoirs of the American Mathematical Society
1 Notre Dame Journal of Formal Logic
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Bulletin of the Korean Mathematical Society
1 Annals of Pure and Applied Logic
1 Bulletin of the Iranian Mathematical Society
1 Journal of the Nigerian Mathematical Society
1 Order
1 Journal of Symbolic Computation
1 Publicacions Matemàtiques
1 Forum Mathematicum
1 International Journal of Foundations of Computer Science
1 Journal of Knot Theory and its Ramifications
1 Computational Complexity
1 Mathematical Logic Quarterly (MLQ)
1 Selecta Mathematica. New Series
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Theory of Computing Systems
1 Journal of Automata, Languages and Combinatorics
1 Honam Mathematical Journal
1 Novi Sad Journal of Mathematics
1 Journal of Combinatorial Optimization
1 RAIRO. Theoretical Informatics and Applications
1 Communications in Contemporary Mathematics
1 Acta et Commentationes Universitatis Tartuensis de Mathematica
1 Lobachevskii Journal of Mathematics
1 The ANZIAM Journal
1 Moscow Mathematical Journal
1 Portugaliae Mathematica. Nova Série
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Proyecciones
1 International Electronic Journal of Algebra (IEJA)
1 Arabian Journal of Mathematics
1 Carpathian Mathematical Publications
1 Open Mathematics
1 Algebraic Structures and their Applications
1 Categories and General Algebraic Structures with Applications
1 Korean Journal of Mathematics
1 Algebraic Combinatorics
...and 1 more Serials

Citations by Year

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